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Finding the Fourth Proportional to 13,783.62, 20,712.72 and 7,214.64

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Solution

The fourth proportional to 13,783.62, 20,712.72 and 7,214.64 is: 10,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.62 : 20,712.72 = 7,214.64 : x
  2. Step 2: Convert to fraction form
    13,783.62/20,712.72 = 7,214.64/x
  3. Step 3: Cross multiply
    13,783.62x = 20,712.72 × 7,214.64
  4. Step 4: Simplify right side
    13,783.62x = 149,434,818.22
  5. Step 5: Solve for x
    x = 149,434,818.22/13,783.62
  6. Step 6: Final answer
    x = 10,841.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.